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Finding the Third Proportional to 579,538 and 886,516

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Solution

The third proportional to 579,538 and 886,516 is: 1,356,098.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,538 : 886,516 = 886,516 : x
  2. Step 2: Convert to fraction form
    579,538/886,516 = 886,516/x
  3. Step 3: Cross multiply
    579,538x = 886,516 × 886,516
  4. Step 4: Simplify right side
    579,538x = 785,910,618,256
  5. Step 5: Solve for x
    x = 785,910,618,256/579,538
  6. Step 6: Final answer
    x = 1,356,098.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.